85528818900 has 1296 divisors, whose sum is σ = 348432948864. Its totient is φ = 17435658240.

The previous prime is 85528818899. The next prime is 85528818917. The reversal of 85528818900 is 981882558.

It is a happy number.

85528818900 is a `hidden beast` number, since 8 + 552 + 8 + 8 + 1 + 89 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1613751274 + ... + 1613751326.

It is an arithmetic number, because the mean of its divisors is an integer number (268852584).

Almost surely, 2^85528818900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85528818900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174216474432).

85528818900 is an abundant number, since it is smaller than the sum of its proper divisors (262904129964).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85528818900 is a wasteful number, since it uses less digits than its factorization.

85528818900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 54.

The spelling of 85528818900 in words is "eighty-five billion, five hundred twenty-eight million, eight hundred eighteen thousand, nine hundred".